






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


snake_case     					=		{
    """configuration_jukebox""": [
        """JUKEBOX_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """JukeboxConfig""",
        """JukeboxPriorConfig""",
        """JukeboxVQVAEConfig""",
    ],
    """tokenization_jukebox""": ["""JukeboxTokenizer"""],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   snake_case     					=		[
       """JUKEBOX_PRETRAINED_MODEL_ARCHIVE_LIST""",
       """JukeboxModel""",
       """JukeboxPreTrainedModel""",
       """JukeboxVQVAE""",
       """JukeboxPrior""",
   ]

if TYPE_CHECKING:
   from .configuration_jukebox import (
       JUKEBOX_PRETRAINED_CONFIG_ARCHIVE_MAP,
       JukeboxConfig,
       JukeboxPriorConfig,
       JukeboxVQVAEConfig,
   )
   from .tokenization_jukebox import JukeboxTokenizer

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_jukebox import (
          JUKEBOX_PRETRAINED_MODEL_ARCHIVE_LIST,
          JukeboxModel,
          JukeboxPreTrainedModel,
          JukeboxPrior,
          JukeboxVQVAE,
      )

else:
   import sys

   snake_case     					=		_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)














'''simple docstring'''







from math import isqrt, loga


def       __UpperCamelCase					(      lowercase_       :  int   ):
       """simple docstring"""




       a_						     =			[True] * max_number
       for i in range(2   ,       isqrt(max_number - 1   ) + 1   ):
              if is_prime[i]:
                     for j in range(i**2   ,       lowercase_   ,       lowercase_   ):
                            a_						     =			False

       return [i for i in range(2   ,       lowercase_   ) if is_prime[i]]


def       __UpperCamelCase					(      lowercase_       :  int = 800_800   ,       lowercase_       :  int = 800_800   ):
       """simple docstring"""




       a_						     =			degree * loga(lowercase_   )
       a_						     =			int(lowercase_   )
       a_						     =			calculate_prime_numbers(lowercase_   )

       a_						     =			0
       a_						     =			0
       a_						     =			len(lowercase_   ) - 1
       while left < right:
              while (
                  prime_numbers[right] * loga(prime_numbers[left]   )
                  + prime_numbers[left] * loga(prime_numbers[right]   )
                  > upper_bound
              ):
                     right -= 1
              hybrid_integers_count += right - left
              left += 1

       return hybrid_integers_count


if __name__ == "__main__":
  print(f"""{solution() = }""")




